Affine lattice construction of spiral surfaces in frustrated Heisenberg models
Abstract
Frustration in classical spin models can lead to degenerate ground states without long-range order. In reciprocal space, these degeneracies appear as manifolds of wave vectors, their dimensionality increasing with the degree of frustration and the robustness of the disordered spin-liquid state. Here, we present a recipe to explicitly construct Heisenberg models on Bravais lattices with codimension-one manifolds, i.e., lines in two dimensions and surfaces with different Euler characteristics in three dimensions. Furthermore, we discuss the role of thermal and quantum fluctuations in stabilizing ordered states.
- Publication:
-
Physical Review B
- Pub Date:
- October 2019
- DOI:
- 10.1103/PhysRevB.100.140402
- arXiv:
- arXiv:1905.12504
- Bibcode:
- 2019PhRvB.100n0402B
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 5 pages, 3 figures, minimal changes in text (including title)